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Finding the Fourth Proportional to 4,662.02, 6,431.41 and 2,772.54

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Solution

The fourth proportional to 4,662.02, 6,431.41 and 2,772.54 is: 3,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.02 : 6,431.41 = 2,772.54 : x
  2. Step 2: Convert to fraction form
    4,662.02/6,431.41 = 2,772.54/x
  3. Step 3: Cross multiply
    4,662.02x = 6,431.41 × 2,772.54
  4. Step 4: Simplify right side
    4,662.02x = 17,831,341.48
  5. Step 5: Solve for x
    x = 17,831,341.48/4,662.02
  6. Step 6: Final answer
    x = 3,824.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.